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2 votes
2 answers
85 views

Quantum Hall effect diverges at $B=0$

In the integer quantum Hall effect, with the applied magnetic field reduced, more and more LLs get filled and one can observe higher and higher plateaus in the Hall conductivity $\sigma_H(B)$. ...
xiaohuamao's user avatar
  • 3,701
0 votes
0 answers
34 views

Is diamagnetic part of conductivity always longitudinal/diagonal?

The Kubo formula for linear response is given as $$\sigma_{ab}(\omega)=\frac{i}{\omega}[\Pi_{ab}(\omega)-\Pi_{ab}(\omega=0)]$$ with $\Pi$ the current-current correlation. It is often claimed that the ...
xiaohuamao's user avatar
  • 3,701
0 votes
1 answer
143 views

How does the conductivities of metals and semiconductors vary when placed in the presence of magnetic field?

Suppose you have two materials one is a metal and other is a heavily doped semiconductor and they are placed in a magnetic field. What experiment will you do to distinguish between them? Does the ...
Rick Andy's user avatar
  • 165
1 vote
0 answers
93 views

Why doesn't the classical model of electrical conduction work with iron, cadmium and bismuth?

My textbook says this: In most metals, the charge carriers are electrons and the charge - carrier density determined from Hall - effect measurements is in good agreement with calculated values for ...
Cross's user avatar
  • 3,340
3 votes
1 answer
817 views

Longitudinal conductivity from density of states (DOS)

It is well-known that using the so-called Streda formula, the transversal conductivity $\sigma_{xy}$ and thus the Hall conductivity in a two-dimensional material is given as the derivative of the ...
Sascha's user avatar
  • 117
9 votes
1 answer
1k views

Does the Hall effect increase the resistance of a wire?

If a current in a wire is flowing perpendicular to a magnetic field, the Hall effect is observed. This effect is caused by the forces from magnetic fields pushing the electrons to one side of the wire....
Zhao's user avatar
  • 129